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Applications of Measure Theory to Statistics

This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach - naturally dividing the class of all consistent estimates of an un...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pantsulaia, Gogi (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Applications of Measure Theory to Statistics  |h [electronic resource] /  |c by Gogi Pantsulaia. 
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264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2016. 
300 |a XV, 134 p.  |b online resource. 
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505 0 |a 1 Calculation of Improper Integrals by Using Uniformly Distributed Sequences -- 2 Infinite-Dimensional Monte-Carlo Integration -- 3 On structure of all real-valued sequences uniformly distributed in [-1/2;1/2] from the point of view of shyness -- 4 On Moore-Yamasaki-Kharazishvili type measures and the infinite powers of Borel diffused probability measures on R -- 5 On objective and strong objective consistent estimates of unknown parameters for statistical structures in a Polish group admitting an invariant metric -- 6 Why Null Hypothesis is rejected for "almost every" infinite sample by the Hypothesis Testing of a maximal reliability?. 
520 |a This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach - naturally dividing the class of all consistent estimates of an unknown parameter in a Polish group into disjoint classes of subjective and objective estimates - helps the reader to clarify some conjectures arising in the criticism of null hypothesis significance testing. The book also acquaints readers with the theory of infinite-dimensional Monte Carlo integration recently developed for estimation of the value of infinite-dimensional Riemann integrals over infinite-dimensional rectangles. The book is addressed both to graduate students and to researchers active in the fields of analysis, measure theory, and mathematical statistics. 
650 0 |a Statistics . 
650 0 |a Mathematics. 
650 0 |a Mathematical analysis. 
650 0 |a Mathematical physics. 
650 0 |a Topology. 
650 1 4 |a Statistical Theory and Methods. 
650 2 4 |a Applications of Mathematics. 
650 2 4 |a Analysis. 
650 2 4 |a Mathematical Physics. 
650 2 4 |a Topology. 
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773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319455778 
776 0 8 |i Printed edition:  |z 9783319455792 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)